Global existence and asymptotic behaviour of solutions for the generalized Boussinesq equation
β Scribed by Yu-Zhu Wang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 884 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
## Abstract In this paper, the existence and the uniqueness of the global solution for the Cauchy problem of the multidimensional generalized Boussinesq equation are obtained. Furthermore, the blowβup of the solution for the Cauchy problem of the generalized Boussinesq equation is proved. Copyright
## Communicated by B. BrosowskΔ±Γ n this paper, the existence, both locally and globally in time, the uniqueness of solutions and the non-existence of global solutions to the initial boundary value problem of a generalized Modification of the Improved Boussinesq equation u RR
We obtain the global existence and uniqueness for a generalized Burger's equation with viscosity and the initial value being in L °° by successive method. Moreover, under certain condition on the initial value the solution tends to the solution of a linear heat equation in H 1.